Minimax Methods in Critical Point Theory with Applications to Differential Equations

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Paul H. Rabinowitz

A co-publication of the AMS and CBMS

The book provides an introduction to minimax methods
in critical point theory and shows their use in existence questions
for nonlinear differential equations. An expanded version of the
author's 1984 CBMS lectures, this volume is the first monograph devoted
solely to these topics. Among the abstract questions considered are
the following: the mountain pass and saddle point theorems,
multiple critical points for functionals invariant under a group of
symmetries, perturbations from symmetry, and variational methods in
bifurcation theory.

The book requires some background in functional analysis
and differential equations, especially elliptic partial
differential equations. It is addressed to mathematicians interested
in differential equations and/or nonlinear functional
analysis, particularly critical point theory.

Minimax Methods in Critical Point Theory with Applications to Differential Equations

Title (HTML):
Minimax Methods in Critical Point Theory with Applications to Differential Equations

Author(s) (Product display):
Paul H. Rabinowitz

Affiliation(s) (HTML):
University of Wisconsin, Madison, Madison, WI

Publisher Blurb:
A co-publication of the AMS and CBMS

Abstract:

The book provides an introduction to minimax methods
in critical point theory and shows their use in existence questions
for nonlinear differential equations. An expanded version of the
author's 1984 CBMS lectures, this volume is the first monograph devoted
solely to these topics. Among the abstract questions considered are
the following: the mountain pass and saddle point theorems,
multiple critical points for functionals invariant under a group of
symmetries, perturbations from symmetry, and variational methods in
bifurcation theory.

The book requires some background in functional analysis
and differential equations, especially elliptic partial
differential equations. It is addressed to mathematicians interested
in differential equations and/or nonlinear functional
analysis, particularly critical point theory.

Book Series Name:
CBMS Regional Conference Series in Mathematics

Volume:
65

Publication Month and Year:
1986-07-01

Copyright Year:
1986

Page Count:
100

Cover Type:
Softcover

Print ISBN-13:
978-0-8218-0715-6

Online ISBN 13:
978-1-4704-2425-1

Print ISSN:
0160-7642

Online ISSN:
0160-7642

Primary MSC:
35;
58;
70

Secondary MSC:
34;
47;
53

Textbook?:
false

Applied Math?:
false

MAA Book?:
false

Electronic Media?:
false

Apparel or Gift:
false

Publisher (non-AMS):
A co-publication of the AMS and Conference Board of Mathematical Sciences